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Numerical Computation of Optimal Control Problems with Atangana–Baleanu Fractional Derivatives.
- Source :
-
Journal of Optimization Theory & Applications . May2023, Vol. 197 Issue 2, p798-816. 19p. - Publication Year :
- 2023
-
Abstract
- In this paper, a computational method is proposed for solving a class of fractional optimal control problems subject to canonical constraints of equality and inequality. Fractional derivatives are described in the Atangana–Baleanu-Caputo sense, and their fractional orders can be different. To solve this problem, we present a discretization scheme based on the trapezoidal rule and a novel numerical integration technique. Then, the gradient formulas of the cost and constraint functions with respect to the decision variables are derived. Furthermore, a gradient-based optimization algorithm for solving the discretized optimal control problem is developed. Finally, the applicability and effectiveness of the proposed algorithm are verified through three non-trivial example problems. [ABSTRACT FROM AUTHOR]
- Subjects :
- *OPTIMIZATION algorithms
*NUMERICAL integration
*PROBLEM solving
Subjects
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 197
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 163800426
- Full Text :
- https://doi.org/10.1007/s10957-023-02212-5